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Finding the Third Proportional to 2,532,153,990 and 3,824,690,929.50

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Solution

The third proportional to 2,532,153,990 and 3,824,690,929.50 is: 5,777,002,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532,153,990 : 3,824,690,929.50 = 3,824,690,929.50 : x
  2. Step 2: Convert to fraction form
    2,532,153,990/3,824,690,929.50 = 3,824,690,929.50/x
  3. Step 3: Cross multiply
    2,532,153,990x = 3,824,690,929.50 × 3,824,690,929.50
  4. Step 4: Simplify right side
    2,532,153,990x = 14,628,260,706,199,574,528
  5. Step 5: Solve for x
    x = 14,628,260,706,199,574,528/2,532,153,990
  6. Step 6: Final answer
    x = 5,777,002,806.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.